Acta mathematica scientia, Series B >
ON THE SUPERSTABILITY OF THE PEXIDER TYPE GENERALIZED TRIGONOMETRIC FUNCTIONAL EQUATIONS
Received date: 2013-09-10
Revised date: 2014-02-25
Online published: 2014-11-20
The aim of this paper is to investigate the superstability problem for the pex-iderized trigonometric functional equation
∑φ∈Φ∫Kf(xkφ(y)k−1)dwK(k) =|Φ|g(x)h(y), x, y ∈ G,
where G is any topological group, K is a compact subgroup of G, !K is the normalized Haar measure of K, Φ is a finite group of K-invariant morphisms of G and f, g, h are continuous complex-valued functions. Consequently, we have generalized the results of stability for d’Alembert´s and Wilson´s equa-tions by R. Badora, J. Baker, B. Bouikhalene, P. Gavruta, S. Kabbaj, Pl. Kannappan, G. H. Kim, J.M. Rassias, A. Roukbi, L. Sz´ekelyhidi, D. Zeglami, etc.
Driss ZEGLAMI , Ahmed CHARIFI , Samir KABBAJ . ON THE SUPERSTABILITY OF THE PEXIDER TYPE GENERALIZED TRIGONOMETRIC FUNCTIONAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2014 , 34(6) : 1749 -1760 . DOI: 10.1016/S0252-9602(14)60120-X
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